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Landau-Lifshitz-Bloch equation on Riemannian manifold |
Zonglin JI( ), Boling GUO |
| Institute of Applied Physics and Computational Mathematics, China Academy of Engineering Physics, Beijing 100088, China |
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Abstract We bring in Landau-Lifshitz-Bloch equation on m-dimensional closed Riemannian manifold and prove that it admits a unique local solution. When and the initial data in -norm is suciently small, the solution can be extended globally. Moreover, for , we can prove that the unique solution is global without assuming small initial data.
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Orientable vector bundle
Riemannian curvature tensor on vector bundle
Sobolev space on vector bundle
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Corresponding Author(s):
Zonglin JI
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Issue Date: 22 March 2019
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